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Finding the Third Proportional to 218,352 and 462,945

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Solution

The third proportional to 218,352 and 462,945 is: 981,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,352 : 462,945 = 462,945 : x
  2. Step 2: Convert to fraction form
    218,352/462,945 = 462,945/x
  3. Step 3: Cross multiply
    218,352x = 462,945 × 462,945
  4. Step 4: Simplify right side
    218,352x = 214,318,073,025
  5. Step 5: Solve for x
    x = 214,318,073,025/218,352
  6. Step 6: Final answer
    x = 981,525.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.